These are the incidence graphs of the $(16,6,2)$-designs. The first of the three graphs in each file is the folded 6-cube, which is the bipartite double of Hamming graph $H(2,4)$ and the Shrikhande graph.
Number of vertices: | $32$ |
Diameter: | $3$ |
Intersection array: | $\{6,5,4;1,2,6\}$ |
Spectrum: | $6^1 2^{15} (-2)^{15} (-6)^1$ |
Distance-transitive: | Folded 6-cube only |
Bipartite |